homalg project

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104 repositories

CapAndHomalg.jl
Public
The CAP and homalg projects compatibility package for Julia
Julia
•
GNU Lesser General Public License v3.0
•5•6•1•0•Updated Mar 16, 2026Mar 16, 2026
HomalgProject.jl
Public
The homalg project compatibility package for Julia
julia category-theory gap
julia category-theory gap oscar homological-algebra derived-category derived-functor homalg homotopy-category
Julia
•
GNU Lesser General Public License v3.0
•7•5•0•0•Updated Mar 16, 2026Mar 16, 2026
CddInterface
Public
Gap Interface to Cdd to ranslate between R-Rep and H-rep of convex polyhedrons
polyhedra convex linear-programing
polyhedra convex linear-programing
GAP
•
Other
•6•2•0•1•Updated Mar 10, 2026Mar 10, 2026
MatricesForHomalg.jl
Public
Matrices for the homalg project
Julia
•
GNU Lesser General Public License v3.0
•4•0•3•0•Updated Mar 9, 2026Mar 9, 2026
Blocks
Public
Tools for block theory
GAP
•
GNU General Public License v2.0
•3•1•0•0•Updated Mar 8, 2026Mar 8, 2026
CAP_project
Public
CAP project -- Categories, Algorithms, and Programming
modules category-theory internalization
modules category-theory internalization homological-algebra additive-closure freyd-category adelman-category vector-spaces
GAP
•18•41•75•11•Updated Mar 7, 2026Mar 7, 2026
cct-icms-2026
Public
Computational Category Theory @ ICMS 2026
CSS
•0•0•0•0•Updated Feb 26, 2026Feb 26, 2026
FinGSetsForCAP
Public
The (skeletal) elementary topos of finite G-sets
GAP
•
GNU General Public License v2.0
•4•0•1•0•Updated Feb 24, 2026Feb 24, 2026
homalg_project
Public
Deposited packages of the homalg project
modules matrices gap
modules matrices gap computer-algebra-system rings homological-algebra
GAP
•19•17•41•3•Updated Feb 24, 2026Feb 24, 2026
ZariskiFrames
Public
[READ-ONLY-SUBSPLIT] (Co)frames/Locales of Zariski closed/open subsets of affine, projective, or toric varieties
locales constructible-sets zariski-frames
locales constructible-sets zariski-frames zariski-coframes zariski-topology locally-closed-sets quasi-affine-variety affine-variety projective-variety toric-variety
GAP
•
GNU General Public License v2.0
•3•0•6•0•Updated Feb 15, 2026Feb 15, 2026
CategoricalTowers
Public
Towers of category constructors
category-theory completions category-constructors
category-theory completions category-constructors cocompletions categorical-towers finite-strict-product-completion category-of-presheaves category-of-copresheaves finite-colimit-cocompletion finite-limit-completion
GAP
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GNU General Public License v2.0
•6•11•28•3•Updated Feb 15, 2026Feb 15, 2026
ToolsForCategoricalTowers
Public
[READ-ONLY-SUBSPLIT] Tools for CategoricalTowers
GAP
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GNU General Public License v2.0
•0•0•0•0•Updated Feb 15, 2026Feb 15, 2026
Locales
Public
[READ-ONLY-SUBSPLIT] Locales, frames, coframes, meet semi-lattices of locally closed subsets, and Boolean algebras of constructible sets
frames locales lattices
frames locales lattices heyting-algebras coframes coheyting-algebras boolean-algebras constructible-sets
GAP
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GNU General Public License v2.0
•4•1•0•0•Updated Feb 15, 2026Feb 15, 2026
LazyCategories
Public
[READ-ONLY-SUBSPLIT] Construct an equivalent lazy category out of a CAP category
GAP
•
GNU General Public License v2.0
•2•0•0•0•Updated Feb 15, 2026Feb 15, 2026
InternalModules
Public
[READ-ONLY-SUBSPLIT] Modules over internal algebras
GAP
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GNU General Public License v2.0
•2•0•0•0•Updated Feb 15, 2026Feb 15, 2026
FunctorCategories
Public
[READ-ONLY-SUBSPLIT] Categories of functors
functors functor-category finitely-presented-category
functors functor-category finitely-presented-category linear-category quiver-representations
GAP
•
GNU General Public License v2.0
•6•3•0•0•Updated Feb 15, 2026Feb 15, 2026
FiniteCocompletions
Public
[READ-ONLY-SUBSPLIT] Finite (co)product/(co)limit (co)completions
GAP
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GNU General Public License v2.0
•0•0•0•0•Updated Feb 15, 2026Feb 15, 2026
CatReps
Public
[READ-ONLY-SUBSPLIT] Representations and cohomology of finite categories
GAP
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GNU General Public License v2.0
•3•0•0•0•Updated Feb 15, 2026Feb 15, 2026
GradientBasedLearningForCAP
Public
A CAP-Based Package for Gradient-Based Learning
neural-networks gradient-descent adam-optimizer
neural-networks gradient-descent adam-optimizer adagrad-optimiser parametrised-morphisms category-of-smooth-maps category-of-lenses
GAP
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GNU General Public License v2.0
•1•1•0•0•Updated Feb 12, 2026Feb 12, 2026
HigherHomologicalAlgebra
Public
A GAP framework for categorical homological algebra with special focus on homotopy categories and tilting equivalences
gap homological-algebra derived-category
gap homological-algebra derived-category homotopy-category derived-equivalences triangulated-categories complex-categories
GAP
•6•7•4•0•Updated Feb 12, 2026Feb 12, 2026
QuotientCategories.jl
Public
[READ-ONLY-SUBSPLIT] Quotient categories
Julia
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GNU General Public License v2.0
•0•0•0•0•Updated Feb 12, 2026Feb 12, 2026
ToolsForCategoricalTowers.jl
Public
[READ-ONLY-SUBSPLIT] Tools for CategoricalTowers
Julia
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GNU General Public License v2.0
•0•0•0•0•Updated Feb 12, 2026Feb 12, 2026
AdditiveClosuresForCAP.jl
Public
Additive closures for pre-additive categories
Julia
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GNU General Public License v2.0
•0•0•0•0•Updated Feb 12, 2026Feb 12, 2026
CategoricalTowers.jl
Public
Julia version of Towers of category constructors, transpiled from GAP
Julia
•2•0•0•0•Updated Feb 12, 2026Feb 12, 2026
LinearAlgebraForCAP.jl
Public
[READ-ONLY-SUBSPLIT] Category of Matrices over a Field for CAP in Julia
Julia
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GNU General Public License v2.0
•1•0•0•0•Updated Feb 12, 2026Feb 12, 2026
LinearClosuresForCAP.jl
Public
Linear closures
Julia
•
GNU General Public License v2.0
•0•0•0•0•Updated Feb 12, 2026Feb 12, 2026
CAP.jl
Public
[READ-ONLY-SUBSPLIT] Categories, Algorithms, Programming for Julia
Julia
•
GNU General Public License v2.0
•1•0•0•0•Updated Feb 12, 2026Feb 12, 2026
CAP_project.jl
Public
Julia versions of the CAP project, transpiled from GAP
Julia
•3•0•0•1•Updated Feb 12, 2026Feb 12, 2026
HeckeCategories
Public
Categorification of Hecke algebras
Shell
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GNU General Public License v2.0
•3•0•0•0•Updated Feb 12, 2026Feb 12, 2026
QuotientCategories
Public
[READ-ONLY-SUBSPLIT] Quotient categories of CAP categories by two-sided ideals
GAP
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GNU General Public License v2.0
•0•0•0•0•Updated Feb 12, 2026Feb 12, 2026